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Finding the Third Proportional to 878,139 and 1,324,125

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Solution

The third proportional to 878,139 and 1,324,125 is: 1,996,616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,139 : 1,324,125 = 1,324,125 : x
  2. Step 2: Convert to fraction form
    878,139/1,324,125 = 1,324,125/x
  3. Step 3: Cross multiply
    878,139x = 1,324,125 × 1,324,125
  4. Step 4: Simplify right side
    878,139x = 1,753,307,015,625
  5. Step 5: Solve for x
    x = 1,753,307,015,625/878,139
  6. Step 6: Final answer
    x = 1,996,616.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.